S. Z. Wang, B. Y. Li, Z. M. Gao and K. Ise´ki proved some fixed point theorems on expansion mappings, which correspond some contractive mappings. In a recent paper, B. E. Rhoades generalized the results for pairs of mappings. In this paper, we obtain the following theorem, which generalizes the result of B. E. Rhoades. THEOREM. Let A, B, S and T be mappings from a complete metric space (X, d) into itself satisfying the following conditions: (1) φ(d(Ax, By)) > d(Sx, Ty) holds for all x and y in X, where φ : R^+ → R+ is non-decreasing, uppersemicontinuous and φ(t) < t for each t >0, (2) A and B are subjective, (3) one of A, B, S and T is continuous, and (4) the pairs A, S and B, T are compatible. Then A, B, S and T have a unique common fixed point in X.